390648886848 has 168 divisors, whose sum is σ = 1224077287680. Its totient is φ = 118130396160.

The previous prime is 390648886843. The next prime is 390648886877. The reversal of 390648886848 is 848688846093.

390648886848 is a `hidden beast` number, since 390 + 6 + 4 + 88 + 86 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (390648886841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2970586 + ... + 3099302.

Almost surely, 2^390648886848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390648886848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612038643840).

390648886848 is an abundant number, since it is smaller than the sum of its proper divisors (833428400832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

390648886848 is a wasteful number, since it uses less digits than its factorization.

390648886848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129225 (or 129212 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 390648886848 in words is "three hundred ninety billion, six hundred forty-eight million, eight hundred eighty-six thousand, eight hundred forty-eight".